Zobrazeno 1 - 10
of 40
pro vyhledávání: '"MINGCHAO CAI"'
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
IntroductionBiot's consolidation model in poroelasticity describes the interaction between the fluid and the deformable porous structure. Based on the fixed-stress splitting iterative method proposed by Mikelic et al. (Computat Geosci, 2013), we pres
Externí odkaz:
https://doaj.org/article/a1344b0f8f974b8eb321ec2e8910e38d
Publikováno v:
Computers & Mathematics with Applications. 126:31-42
Publikováno v:
Emerging Markets Finance & Trade, 2014 May 01. 50(3), 126-161.
Externí odkaz:
https://www.jstor.org/stable/24476735
Publikováno v:
Advances in Fusion Energy Research-From Theory to Models, Algorithms, and Applications
Advances in Fusion Energy Research-From Theory to Models, Algorithms, and Applications ISBN: 9781803562780
Advances in Fusion Energy Research-From Theory to Models, Algorithms, and Applications ISBN: 9781803562780
We review decoupling techniques for coupled PDE models in fluid dynamics. In particular, we are interested in the coupled models for fluid flow interacting with porous media flow and the fluid structure interaction (FSI) models. For coupled models fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db2d626a5e7d40cee2e84e88e6f187b3
https://mts.intechopen.com/articles/show/title/decoupling-techniques-for-coupled-pde-models-in-fluid-dynamics
https://mts.intechopen.com/articles/show/title/decoupling-techniques-for-coupled-pde-models-in-fluid-dynamics
Autor:
Mingchao Cai, Guoping Zhang
Publikováno v:
Appl Anal
In this paper, we study the normal mode solutions of 3D incompressible viscous fluid flow models. The obtained theoretical results are then applied to analyze several time-stepping schemes for the numerical solutions of the 3D incompressible fluid fl
Publikováno v:
Electron Res Arch
We study decoupled numerical methods for multi-domain, multi-physics applications. By investigating various stages of numerical approximation and decoupling and tracking how the information is transmitted across the interface for a typical multi-mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22b647f29ad14bfa075a180d47319eca
https://europepmc.org/articles/PMC10253259/
https://europepmc.org/articles/PMC10253259/
Publikováno v:
Math Comput Simul
In this paper, we develop two parameter-robust numerical algorithms for Biot model and applied the algorithms in brain edema simulations. By introducing an intermediate variable, we derive a multiphysics reformulation of the Biot model. Based on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7d5adbec9de342b04514a38f3c81ef1
https://europepmc.org/articles/PMC7297196/
https://europepmc.org/articles/PMC7297196/
Publikováno v:
Advances in Computational Mathematics. 44:115-145
In this work, several multilevel decoupled algorithms are proposed for a mixed Navier-Stokes/Darcy model. These algorithms are based on either successively or parallelly solving two linear subdomain problems after solving a coupled nonlinear coarse g
Publikováno v:
Computers & Mathematics with Applications. 73:404-418
In this paper, a new nonconforming immersed finite element (IFE) method on triangular Cartesian meshes is developed for solving planar elasticity interface problems. The proposed IFE method possesses optimal approximation property for both compressib
Publikováno v:
East Asian journal on applied mathematics. 9(3)
In this paper, we develop an H(div)-conforming finite element method for Biot’s consolidation model in poroelasticity. In our method, the flow variables are discretized by an H(div)-conforming mixed finite elements. For relaxing the H(1)-conformity